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aleksklad [387]
2 years ago
14

Give an example of two 2×2 matrices A and B, neither of which is the zero matrix or the identity matrix, such that AB=BA.

Mathematics
1 answer:
Katena32 [7]2 years ago
6 0

Let

A=B=\begin{bmatrix}0&1\\1&0\end{bmatrix}

Then

AB=BA=\begin{bmatrix}0&1\\1&0\end{bmatrix}^2=\begin{bmatrix}1&0\\0&1\end{bmatrix}

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An angle measuring (525n)° is in standard position. For which value of n will the terminal side fall along the negative portion
Mazyrski [523]

For n=2,

put the value 2 in the above equation we get 525*2=1050°.

1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.


For n=6,

put the value 6 in the above equation we get 525*6=3150°.

3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.



8 0
2 years ago
Read 2 more answers
In circle A shown, BC || DE , mBC=58° and mDE=142°. Determine the measure of ZCFE . Show how you arrived at your answer.
AysviL [449]

Answer:

< CFE = 40°

Step-by-step explanation:

To better understand the solution, see attachment for the diagram.

Given:

BC parallel to DE

Measure of Arc BD = 58°

Measure of Arc DE = 142°

First step: Draw a diameter that passes through the centre of the circle and name it. In this case, the diameter is line ST.

The line ST divides the arc BD and arc DE into half.

That is:

Arc SC = 1/2(arc BC) =1/2(58)

Arc SC = 29°

Arc TE = 1/2(arc DE) =1/2(142)

Arc TE = 71°

Arc SC + Arc CE + Arc TE = 180° (Sum of angles in a semicircle

29° + Arc CE  + 71° = 180°

Arc CE + 100° = 180°

Arc CE = 180-100

Arc CE = 80°

Inscribed angle = 1/2(intercepted angle)

<CFE = 1/2(Arc CE )

<CFE = 1/2(80)

< CFE = 40°

5 0
2 years ago
How do you Evaluate 3f(2)
kondor19780726 [428]

IT IS TWELVE............ 12

4 0
2 years ago
The Magazine Mass Marketing Company has received 14 entries in its latest sweepstakes. They know that the probability of receivi
pav-90 [236]

Answer:

0.8759 is the probability that no less than 4 of the entry forms will include an order.    

Step-by-step explanation:

We are given the following information:

We treat subscription order with an entry form as a success.

P(subscription order with an entry form) = 0.4

Then the number subscription order with an entry form follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 14

We have to evaluate:

P(x \geq 4) =1 - P(x = 0) - P(x = 1) - P(x = 2) - P(x = 3) \\= 1 - (\binom{14}{0}(0.4)^0(1-0.4)^{14} + \binom{14}{1}(0.4)^1(1-0.4)^{13} + \binom{14}{2}(0.4)^2(1-0.4)^{12} + \binom{14}{3}(0.4)^3(1-0.4)^{11})\\=1-(0.0007+0.0074+0.0317+0.0846)\\= 0.8756

0.8759 is the probability that no less than 4 of the entry forms will include an order.

6 0
2 years ago
renee is making a scale diagram of her mp3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The
ozzi
Answer: 2

Explanation:

The scale factor is the ratio between the scale drawing measures and the actual measures.

                                   scale drawing length            8 inches
scale factor = ratio = -------------------------------- =   --------------- = 2
                                        actual length                    4 inches

Also,
                                   scale drawing width             14 inches
scale factor = ratio = ----------------------------- =       --------------- = 2
                                         actual width                      7 inces


As seen the scale factor is 2.
6 0
2 years ago
Read 2 more answers
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